46827648 has 96 divisors (see below), whose sum is σ = 154028160. Its totient is φ = 13377024.

The previous prime is 46827643. The next prime is 46827659. The reversal of 46827648 is 84672864.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×46827648³ (a number of 24 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (46827643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5161 + ... + 10967.

It is an arithmetic number, because the mean of its divisors is an integer number (1604460).

Almost surely, 2^46827648 is an apocalyptic number.

46827648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46827648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77014080).

46827648 is an abundant number, since it is smaller than the sum of its proper divisors (107200512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46827648 is a wasteful number, since it uses less digits than its factorization.

46827648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5834 (or 5819 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 46827648 is about 6843.0729939114. The cubic root of 46827648 is about 360.4409411801.

The spelling of 46827648 in words is "forty-six million, eight hundred twenty-seven thousand, six hundred forty-eight".